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Finding the Third Proportional to 102,259.50 and 209,475

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Solution

The third proportional to 102,259.50 and 209,475 is: 429,102.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,259.50 : 209,475 = 209,475 : x
  2. Step 2: Convert to fraction form
    102,259.50/209,475 = 209,475/x
  3. Step 3: Cross multiply
    102,259.50x = 209,475 × 209,475
  4. Step 4: Simplify right side
    102,259.50x = 43,879,775,625
  5. Step 5: Solve for x
    x = 43,879,775,625/102,259.50
  6. Step 6: Final answer
    x = 429,102.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.